clansy.f3
Usage
Functions/Subroutines
real function clansy (norm, uplo, n, a, lda, work)
CLANSY returns the value of the 1-norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a complex symmetric matrix.
Function/Subroutine Documentation
real function clansy (character norm, character uplo, integer n, complex, dimension( lda, * ) a, integer lda, real, dimension( * ) work)
CLANSY returns the value of the 1-norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a complex symmetric matrix.
Purpose:
!> !> CLANSY returns the value of the one norm, or the Frobenius norm, or !> the infinity norm, or the element of largest absolute value of a !> complex symmetric matrix A. !>
Returns
CLANSY
!> !> CLANSY = ( max(abs(A(i,j))), NORM = 'M' or 'm' !> ( !> ( norm1(A), NORM = '1', 'O' or 'o' !> ( !> ( normI(A), NORM = 'I' or 'i' !> ( !> ( normF(A), NORM = 'F', 'f', 'E' or 'e' !> !> where norm1 denotes the one norm of a matrix (maximum column sum), !> normI denotes the infinity norm of a matrix (maximum row sum) and !> normF denotes the Frobenius norm of a matrix (square root of sum of !> squares). Note that max(abs(A(i,j))) is not a consistent matrix norm. !>
Parameters
NORM
!> NORM is CHARACTER*1 !> Specifies the value to be returned in CLANSY as described !> above. !>
UPLO
!> UPLO is CHARACTER*1 !> Specifies whether the upper or lower triangular part of the !> symmetric matrix A is to be referenced. !> = 'U': Upper triangular part of A is referenced !> = 'L': Lower triangular part of A is referenced !>
N
!> N is INTEGER !> The order of the matrix A. N >= 0. When N = 0, CLANSY is !> set to zero. !>
A
!> A is COMPLEX array, dimension (LDA,N) !> The symmetric matrix A. If UPLO = 'U', the leading n by n !> upper triangular part of A contains the upper triangular part !> of the matrix A, and the strictly lower triangular part of A !> is not referenced. If UPLO = 'L', the leading n by n lower !> triangular part of A contains the lower triangular part of !> the matrix A, and the strictly upper triangular part of A is !> not referenced. !>
LDA
!> LDA is INTEGER !> The leading dimension of the array A. LDA >= max(N,1). !>
WORK
!> WORK is REAL array, dimension (MAX(1,LWORK)), !> where LWORK >= N when NORM = 'I' or '1' or 'O'; otherwise, !> WORK is not referenced. !>
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Definition at line 122 of file clansy.f.
Releases
4 releases since Debian 7 (Wheezy); the text changed 3 times.